λ
Prime Ledger

9,478,637

7 × 457 × 2963
Deficient Odd Composite

9,478,637 has the prime decomposition 7 × 457 × 2963. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 457 × 2963
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,860,096
Proper Divisor Sum 1,381,459
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9478633 ← → #9478643

Radix Representation

Decimal 9478637
Binary 100100001010000111101101 (24 bits)
Octal 0o44120755
Hexadecimal 0x90A1ED

Divisor Catalog (8)

1 7 457 2,963 3,199 20,741 1,354,091 9,478,637

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,478,637 28,435,912 14,217,956 7,108,978 3,554,489 10,663,468 5,331,734 2,665,867 7,997,602 3,998,801 11,996,404 5,998,202 2,999,101 8,997,304 4,498,652 2,249,326 1,124,663 3,373,990 1,686,995 5,060,986 2,530,493 7,591,480 3,795,740 1,897,870 948,935 2,846,806 1,423,403 4,270,210 2,135,105 6,405,316 3,202,658 1,601,329 4,803,988 2,401,994 1,200,997 3,602,992 1,801,496 900,748 450,374 225,187 675,562 337,781 1,013,344 506,672 253,336 126,668 63,334 31,667 95,002 47,501 142,504 71,252 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670

More profiles

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